9.
The Senior House Master of (SHS) invited the School's Volleyball players and Prefects on
duty to his office. 14 students altogether reported. 7 Volleyball players left his office, leaving
behind only the Prefects on duty. If 10 of them play Volleyball, find:
the number of students who were both prefects and Volleyball players;
those who were only Prefects.

The decimal which represents the fraction of the people who vote for kiwi among all 9 people is 1/9 it's 0.1111111.

It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.

As per the given,

Number of people who vote on their favorite fruit = 9

Number of people who vote for kiwi = 1

The fraction of person vote kiwi to vote on their favorite fruit = 1/9

In decimal form 1/9 =  0.1111111.

Hence "The decimal which represents the fraction of the people who vote for kiwi among all 9 people is 1/9 it's 0.1111111".

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we have

A(x)= x^2-5x for x>0



find A(6) and solve A(x)=36

Part 1

Find A(6)

that means

The value of A(x) when the value of x=6

For x=6

substitute

A(6)= 6^2-5(6)

A(6)=36-30

A(6)=6 in^2

Part 2

A(x)=36

Solve for x

substitute

A(x)= x^2-5x

36= x^2-5x

x^2-5x-36=0

Solve using the quadratic formula

we have

a=1

b=-5

c=-36

substitute

therefore

the solutions for x are

x=9 and x=-4

the solution is x=9 in (because the value of x can not be negative)

Convenience purchase: Coca-Cola. Shopping purchase: Apple iPhone. Specialty purchase: Rolex. These brand name products correspond to their respective purchase types based on convenience, shopping involvement, and specialty appeal in the consumer marketplace.

Convenience purchases refer to low-involvement purchases made by consumers for everyday items that are readily available and require minimal effort to obtain. These purchases are typically driven by convenience and habit rather than extensive consideration or brand loyalty.

Shopping purchases involve higher involvement and more deliberate decision-making. Consumers invest time and effort in comparing options, seeking the best value or quality, and may consider multiple brands before making a purchase. These purchases often involve durable goods or products that require more consideration.

Specialty purchases are distinct and unique purchases that cater to specific interests, preferences, or hobbies. These purchases are driven by passion, expertise, and a desire for premium or specialized products. Consumers are often willing to invest more in these purchases due to their unique features, quality, or exclusivity.

Three specific brand name products in the consumer marketplace that correspond to these types of purchases are

Convenience Purchase: Coca-Cola (Soft Drink)

Coca-Cola is a widely recognized brand in the beverage industry. It is readily available in various sizes and formats, making it a convenient choice for consumers seeking a refreshing drink on the go.

With its widespread availability and strong brand presence, consumers often make convenience purchases of Coca-Cola without much thought or consideration.

Shopping Purchase: Apple iPhone (Smartphone)

The Apple iPhone is a popular choice for consumers when it comes to shopping purchases. People invest time researching and comparing features, pricing, and user reviews before making a decision.

The shopping process involves considering various smartphone brands and models to ensure they select a product that meets their specific needs and preferences.

Specialty Purchase: Rolex (Luxury Watches)

Rolex is a well-known brand in the luxury watch industry and represents specialty purchases. These watches are associated with high-quality craftsmanship, precision, and exclusivity.

Consumers who are passionate about luxury watches and seek a premium product often consider Rolex due to its reputation, heritage, and unique features. The decision to purchase a Rolex involves a significant investment and is driven by the desire for a prestigious timepiece.

These examples illustrate how different types of purchases align with specific brand name products in the consumer marketplace, ranging from convenience-driven choices to more involved shopping decisions and specialty purchases driven by passion and exclusivity.

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Answer:

x = 7

Step-by-step explanation:

8x + 5 = 61

8x = 56

x = 7

The probability of success is 1/5. The solution has been obtained by using probability.

What is probability?

In order to calculate the chance of an event, the mathematical notion of probability is used. It only enables us to estimate the likelihood that an event will take place. On a scale of 0 to 1, with 0 representing impossibility and 1 representing a specific occurrence.

We are given that a d10 dice is rolled.

The sample space will be

S = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

It is given that a player succeeds at an action if a 9 or 10 is rolled.

Probability of getting 9 or 10 = 2/10

Probability of getting 9 or 10 = 1/5

Hence, the probability of success is 1/5.

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Answer:

22 =1

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

you have seen 2 movies before starting to go up in spending money

Answer:

i think the answer is 4

Step-by-step explanation:

coz wen i went through the questions i was able to solve them except option 4 which was giving Fx =9

Answer:

it should be all real number

Step-by-step explanation:

Answer:

A. x ≤ 5

Step-by-step explanation:

We know that finding the domain consists of finding where the function has an x value, so that rules out answer choice B which uses y, that gives the range.

Since the graph cuts off at a point (x = 5), We can confer that the domain is not all real numbers, so that eliminates D.

Now when you look at the graph, you can see that at x = 5, the x values start becoming smaller, so that rules out answer choice C which states that the x values at 5 start to get larger.

The answer is A because it includes x = 5, and the x values of the graph progressively get smaller.

If the income elasticity of a good is 5, we know that the good is normal good.

Here, we have,

Income elasticity of demand is a measure of the responsiveness of the quantity demanded of a good to a change in consumers' income.

It is calculated as the percentage change which is the change in the quantity demanded of a good divided by the percentage change in income.

If the income elasticity of a good is greater than 1, then it is known as a normal good.

Normal goods are known as the goods for which the demand increases as income increases.

In contrast, if the income elasticity of a good is less than 1, then it is taken as an inferior good. Inferior goods are goods for which the demand decreases as income increases. If the income elasticity of a good is equal to 1, then it is known as an inelastic good.

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Sum of two angles that are complementary = 90°

Let the smaller angle be x .

Then the larger angle = 2x

Let us make an equation to find the measure of both the angles :-

\(2x + x = 90\)

\(3x = 90\)

\(x = \frac{90}{3} \)

\(x = 30\)

Which means :-

Measure of the small angle = 30°

Measure of the larger angle = 2 × 30 = 60°

Therefore , the measure of the bigger angle is 60° .

9514 1404 393

Answer:

Step-by-step explanation:

The midpoint formula is useful here. For midpoint M, we have ...

  M = (C + D)/2

  2M = C + D

  2(10, 10) = (15, s) +(t, 3)

  (20, 20) = (15+t, s+3)

  t = 20 -15 = 5

  s = 20 -3 = 17

__

Check

  (C +D)/2 = ((15, 17) +(5, 3))/2 = (20, 20)/2 = (10, 10) . . . checks OK

Answer:

.842

Step-by-step explanation:

Divide 32 by 38 to figure out how many of them are needed. Answer is .842 rounded.

Answer: 101000

Step-by-step explanation: It would be rounded to 101000 because the nearest 100 would be a 1000.

Answer: 111,000 because when you round 994 you get a thousand because that’s the next hundred so you get 111,000

Step-by-step explanation:

A binomial is a factor of a polynomial has been determined by using the

polynomial division method.

To determine if a binomial is a factor of a polynomial, you can use the polynomial division method. The basic idea is to divide the polynomial by the binomial and check if the remainder is zero. If the remainder is zero, then the binomial is a factor of the polynomial. Here's the step-by-step process:

Write the polynomial and the binomial in standard form, with the terms arranged in descending order of their exponents.

Perform the long division of the polynomial by the binomial, similar to how you would divide numbers. Start by dividing the highest degree term of the polynomial by the highest degree term of the binomial.

Multiply the binomial by the quotient obtained from the division and subtract the result from the polynomial.

Repeat the division process with the new polynomial obtained from the subtraction step.

Continue dividing until you reach a point where the degree of the polynomial is lower than the degree of the binomial.

If the remainder is zero, then the binomial is a factor of the polynomial. If the remainder is non-zero, then the binomial is not a factor.

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It will take all three pumps, Working together, 1.56 minutes to fill the pool.

The given information, we can write three equations as follows:

1) (1/A + 1/B)*35 = C  ---(Equation 1)

2) (1/B + 1/C)*40 = C  ---(Equation 2)

3) (1/A + 1/C)*56 = C  ---(Equation 3)

We want  how many minutes it will take all three pumps, working together, to fill the pool, so let's represent the time taken by all three pumps working together as "t".

When all three pumps work together, they can fill the pool in one minute, so their combined rate is 1/C.

Using the rate formula, we can write the following equation:

1/A + 1/B + 1/C = 1/t   ---(Equation 4)

We have four unknowns (A, B, C, and t), so we need to solve for one of them to get the answer. Let's solve for "t".

First, we can simplify Equations 1, 2, and 3 as follows:

1) 1/A + 1/B = C/35

2) 1/B + 1/C = C/40

3) 1/A + 1/C = C/56

Next, we can substitute these equations into Equation 4 to get:

(C/35) + (C/40) + (C/56) = 1/t

Now, we can simplify and solve for "t":

LCD = 39200

1120C + 980C + 700C = 39200

2800C = 39200

C = 14

Substituting this value of "C" into any of the simplified equations, we can solve for "A" and "B". Let's use Equation 1:

1/A + 1/B = 14/35

5(A+B) = 98

A+B = 19.6

Now we can use A+B+C = 1/t to solve for "t":

t = 1 / (A+B+C) = 1 / (19.6 + 14) = 0.026 hours = 1.56 minutes

Therefore, it will take all three pumps, working together, 1.56 minutes to fill the pool.

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Answer:

x = 62 /9     y = 11 /9   z = − 5 /27

Step-by-step explanation:

Find intersection of

BD , AD DC

Then

BD = BE^2 + ED^2

R = AD = abc/4S = 42• (2•28)•

Jessica took  9561.6 minutes to finish the race.

Let's call the time it took Kelly to finish the race "K". Then the time it took Jessica to finish the race would be "K - 9610".

We know that the difference between their times is 48.4 minutes, so we can set up an equation:

K - (K - 9610) = 48.4

Expanding the right side of the equation:

K - K + 9610 = 48.4

Combining like terms:

9610 = 48.4

Therefore, it took Jessica 9610 - 48.4 = 9561.6 minutes to finish the race.

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After adding and subtracting the rational expressions , the simplified rational expression is 4x - 4/x² - 5/x³ + 9  .

We first simplify each expression inside the parentheses :

that means :

⇒ (2x + 5/x² -3x) = (2x - 3x + 5/x²) = (-x + 5/x²) ;

⇒ (3x + 5/x³ - 9x) = (-6x + 5/x³)  ;

⇒ (x + 1/x² - 9) = (-9 + x + 1/x²)  ;

Now we substitute these expressions into original equation/expression :

we get ; (-x + 5/x²) - (-6x + 5/x³) - (-9 + x + 1/x²)

Simplifying further ,

we get ;

⇒ -x + 5/x² + 6x - 5/x³ + 9 - x - 1/x²  ;

On Combining the like terms, we get ;

⇒ 4x - 4/x² - 5/x³ + 9

Therefore, the simplified rational expression is 4x - 4/x² - 5/x³ + 9.

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The given question is incomplete , the complete question is

Adding and subtracting rational expressions, Simplify the rational expression  (2x + 5/x² -3x) - (3x + 5/x³ - 9x) - (x + 1/x² - 9)  .

For a boat is sailing east parallel to the shoreline at a speed of 11 miles per hour,  the distance from the boat to the shoreline.  is mathematically given as

d = 7miles

Generally, the equation for the  law of sines  is mathematically given as

sina/A=sin b/B

Where , distance from the shoreline is

d= 11* 30/60

d= 5.5 mile

Therefore

5.5/ sin 7 = x / sin 153

x = 20.4887

cos 70 = d / 20.4887

d = 7niles

In conclusion, The distance is

d = 7miles

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Answer:

$26.00

Step-by-step explanation:

52 divided by 2 = 26

Answer:

The intersection of the two intervals = 4, 5, 6,.......+∞ = (4, +∞)

The union of the two intervals = -3, -2, -1, 0, 1, 2, 3, 4, 5,.....,+∞ = (-3, +∞)

Step-by-step explanation:

The given intervals are;

First interval  = (-3, +∞)

Second interval  = (4, +∞)

Using the number line, we therefore, the first interval includes, -3, -2, -1, 0, 1, 2, 3, 4, 5,.....,+∞

The second interval includes, 4, 5,.....,+∞

Which gives the intersection as 4, 5, 6,.......+∞

The union is the interval that combines the two sets of intervals which is given as follows;

The union of the two intervals = -3, -2, -1, 0, 1, 2, 3, 4, 5,.....,+∞

Answer:

,,,

Step-by-step explanation:

Answer:

1. (x +1)(x - 1)

2. (x+5)(x-5)

3. (x+12)(x-12)

4. (x+14)(x-14)

5. (x+5)(x-7)

Step-by-step explanation:

The first 4 expressions can be factored with the difference of squares type of factoring.

For #5, the odd one out is (x+5)(x-7) because it isn't a factor of any of the standard form equations, while the others are

Answer:

1. 0.0086

2. 0.0059

3. 0.0124

4. 0.0894

5. 0.0667

6. 4.578

7. 67.58

8. 99789.5

9. 685.31

10. 23500

Step-by-step explanation:

Use calculator or find the pattern

for problems under B, multiply the quotient by the dividend

First make the graph of the functions, then  if the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions.

Symmetric

A figure or shape that can be divided into two equal parts by a line is called symmetric figures.

Inverse Functions

The inverse function of a function f  is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective, and if it exists, is denoted by F^-1.

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Using the concepts of mean and standard deviation, and the central limit theorem, it is found that:

a. The mean is of: 3.3

b. The standard deviation is of: 1.23.

c. They would have a mean of 3.3 and a standard deviation of 0.55.

For this problem, the mean is given by:

M = (2 + 3 + 2 + 3 + 3 + 4 + 2 + 4 + 3 + 2 + 2 + 7 + 3 + 4 + 5 + 3 + 3 + 3 + 3 + 5)/20 = 3.3

The standard deviation is:

\(S = \sqrt{\frac{(2 - 3.3)^2 + (3 - 3.3)^2 + \cdots + (3 - 3.3)^2 + (5 - 3.3)^2}{20}} = 1.23\)

It states that for distribution of sample means of size n:

Hence, since 1.23/sqrt(5) = 0.55, the sample means would have a mean of 3.3 and a standard deviation of 0.55.

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